Positive differences of overpartitions with separated parts

Mohamed El Bachraoui

doi:10.1007/s11139-023-00800-7

Positive differences of overpartitions with separated parts

Mohamed El Bachraoui

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

In this note, we investigate partition differences of overpartitions where overlined and non-overlined part are separated. As a consequence of our main results, we deduce a variety of positivity results for overpartition differences.

Original language	English
Pages (from-to)	1007-1019
Number of pages	13
Journal	Ramanujan Journal
Volume	63
Issue number	4
DOIs	https://doi.org/10.1007/s11139-023-00800-7
Publication status	Published - Apr 2024

Keywords

Overpartitions
Partitions
Positivity
Q-series

ASJC Scopus subject areas

Algebra and Number Theory

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10.1007/s11139-023-00800-7

Cite this

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title = "Positive differences of overpartitions with separated parts",

abstract = "In this note, we investigate partition differences of overpartitions where overlined and non-overlined part are separated. As a consequence of our main results, we deduce a variety of positivity results for overpartition differences.",

keywords = "Overpartitions, Partitions, Positivity, Q-series",

author = "{El Bachraoui}, Mohamed",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2023.",

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PY - 2024/4

Y1 - 2024/4

N2 - In this note, we investigate partition differences of overpartitions where overlined and non-overlined part are separated. As a consequence of our main results, we deduce a variety of positivity results for overpartition differences.

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KW - Q-series

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Positive differences of overpartitions with separated parts

Abstract

Keywords

ASJC Scopus subject areas

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